â€¢ The other method cons is t s in fac tor iz ing PI(X) in ~[X] , then P2(X) in ~(C~l)[X] where ~(Ctl) = ~[X] / I I I (X) , for each i r reducible factor II 1 of P1 ' and so on, in o rde r to de teâ€¦ (More)

We propose in this paper a method for obtaining a significant refinement of normal forms for dynamical systems or vector fields, with concrete and interesting applications. We use lower orderâ€¦ (More)

We propose in this paper a significant refinement of normal forms for differentiable maps near a fixed point. We give a method to obtain further reduction of classical normal forms with concrete andâ€¦ (More)

This paper presents an algorithm for building a fundamental system of formal solutions in the neighbourhood of every singularity of a linear homogenous differential operator.

The goal of this paper is twofold: first a rapid introduction to the concept of hybrid system and second the presentation of a new direction in computer algebra that we have called hybridâ€¦ (More)

We propose in this paper a new normal form for dynamical systems or vector fields which improves the classical normal forms in the sense that it is a further reduction of the classical normal forms.â€¦ (More)

In this paper, our purpose is to describe an algorithmic process for studying non linear polynomial differential equations in the neighborhood of a point. The approach we consider has been proposedâ€¦ (More)

ABSTRACT: We consider in this paper the normal formal problem for systems of nonlinear ordinary &fferential equations with singularity at the origin. The problem has its origin in the classical workâ€¦ (More)